Mathematical modeling as a tool for planning anticancer therapy.

Abstract:

:We review a large volume of literature concerning mathematical models of cancer therapy, oriented towards optimization of treatment protocols. The review, although partly idiosyncratic, covers such major areas of therapy optimization as phase-specific chemotherapy, antiangiogenic therapy and therapy under drug resistance. We start from early cell cycle progression models, very simple but admitting explicit mathematical solutions, based on methods of control theory. We continue with more complex models involving evolution of drug resistance and pharmacokinetic and pharmacodynamic effects. Then, we consider two more recent areas: angiogenesis of tumors and molecular signaling within and among cells. We discuss biological background and mathematical techniques of this field, which has a large although only partly realized potential for contributing to cancer treatment.

journal_name

Eur J Pharmacol

authors

Swierniak A,Kimmel M,Smieja J

doi

10.1016/j.ejphar.2009.08.041

subject

Has Abstract

pub_date

2009-12-25 00:00:00

pages

108-21

issue

1-3

eissn

0014-2999

issn

1879-0712

pii

S0014-2999(09)00883-8

journal_volume

625

pub_type

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